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Finding the Fourth Proportional to 23,681.98, 32,680.74 and 13,071.34

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Solution

The fourth proportional to 23,681.98, 32,680.74 and 13,071.34 is: 18,038.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,681.98 : 32,680.74 = 13,071.34 : x
  2. Step 2: Convert to fraction form
    23,681.98/32,680.74 = 13,071.34/x
  3. Step 3: Cross multiply
    23,681.98x = 32,680.74 × 13,071.34
  4. Step 4: Simplify right side
    23,681.98x = 427,181,063.99
  5. Step 5: Solve for x
    x = 427,181,063.99/23,681.98
  6. Step 6: Final answer
    x = 18,038.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.